The performance of modern quantum communication sort of relies on the
interaction between quantum system and environment, which is generally
described by the theory of decoherence. Decoherence, caused by the loss and
noise encountered in quantum channel, can destroy fragile quantum properties
of quantum states, and thus the information carried by the quantum states
will be affected. Decoherence effects on entangled state has been well
studied [1]}, [2]}, [3]}, [4]}, [5]}, [6]}. It has been shown that two
entangled qubits become completely separable in a finite-time under the
influence of vacuum which is the so called entanglement sudden death [1]}, [2]}, and disentanglement occurs in Gaussian multipartite entangled
states when one mode is transmitted in a noisy channel [9]}. It is
essential to recover entanglement when entanglement sudden death happens. A
number of methods to recover the destroyed entanglement have been
demonstrated, such as the non-Markovian environment [10]}, [11]}, [9]}, weak measurement [13]} and feedback [14]}. Since EPR
steering is so intriguing and has enormous potential in quantum
communication applications, it is imperative and significant to investigate
the influence on Gaussian EPR steering made by decoherence. In 2015, the
decoherence of steering was theoretically investigated [15]}.
Further more, it is unknown whether the methods used to recover entanglement
can be used to recover EPR steering when sudden death of EPR steering
happens.
